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Finding the Fourth Proportional to 6,176.64, 9,268.58 and 2,283.76

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Solution

The fourth proportional to 6,176.64, 9,268.58 and 2,283.76 is: 3,426.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,176.64 : 9,268.58 = 2,283.76 : x
  2. Step 2: Convert to fraction form
    6,176.64/9,268.58 = 2,283.76/x
  3. Step 3: Cross multiply
    6,176.64x = 9,268.58 × 2,283.76
  4. Step 4: Simplify right side
    6,176.64x = 21,167,212.26
  5. Step 5: Solve for x
    x = 21,167,212.26/6,176.64
  6. Step 6: Final answer
    x = 3,426.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.